Nuprl Lemma : existse-between3-false
∀es:EO. ∀e1:E. ∀e2:{e:E| loc(e) = loc(e1) ∈ Id} . (∃e∈(e1,e2].False ⇐⇒ False)
Proof
Definitions occuring in Statement :
existse-between3: ∃e∈(e1,e2].P[e],
es-loc: loc(e),
es-E: E,
event_ordering: EO,
Id: Id,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
false: False,
set: {x:A| B[x]} ,
equal: s = t ∈ T
Lemmas :
set_wf,
and_wf,
subtype_base_sq,
equal-wf-base,
equal-wf-base-T,
equal-wf-T-base,
not_wf,
assert_wf,
es-first_wf2,
squash_wf,
true_wf,
false_wf,
existse-between3_wf,
Id_wf,
es-loc_wf,
es-E_wf,
event_ordering_wf
\mforall{}es:EO. \mforall{}e1:E. \mforall{}e2:\{e:E| loc(e) = loc(e1)\} . (\mexists{}e\mmember{}(e1,e2].False \mLeftarrow{}{}\mRightarrow{} False)
Date html generated:
2015_07_17-AM-08_48_17
Last ObjectModification:
2015_01_27-PM-02_24_50
Home
Index